Nike Shox Arraw are running sneakers that were released in 2007. Not as thick as the more popular R4/NZ or Turbo's, the Arraw is a sleeker model with a lower profile shox outsole.
I measured a New pair as giving almost 3cm, around 1.15 inches of thickness. After long-term wear (years), I re-measured them around an inch as shown in the video below. They are a model of Nikes that I've personally worn every day and to a number of conventions. I find the Arraw's to be a long-lasting and durable sneaker, one of my favourites ever. It's a shame they are no longer being released.